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Finding the Third Proportional to 60,312 and 91,716

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Solution

The third proportional to 60,312 and 91,716 is: 139,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,312 : 91,716 = 91,716 : x
  2. Step 2: Convert to fraction form
    60,312/91,716 = 91,716/x
  3. Step 3: Cross multiply
    60,312x = 91,716 × 91,716
  4. Step 4: Simplify right side
    60,312x = 8,411,824,656
  5. Step 5: Solve for x
    x = 8,411,824,656/60,312
  6. Step 6: Final answer
    x = 139,471.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.